Fuzzy filter design for itô stochastic systems with application to sensor fault detection

Authors:
Ligang Wu;Daniel W. C. Ho
Affiliations:
Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, China;Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2009

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Abstract

The paper deals with the robust fault detection problem for Takagi-Sugeno (T-S) fuzzy Itô stochastic systems. Our aim is to develop a robust fault detection approach to the T-S fuzzy systems with Brownian motion. By using a general observer-based fault detection filter as a residual generator, the robust fault detection is formulated as a filtering problem. Attention is focused on the design of both the fuzzy-rule-independent and the fuzzy-rule-dependent fault detection filters guaranteeing a prescribed noise attenuation level in an H∞ sense. Sufficient conditions are proposed to guarantee the mean-square asymptotic stability with an H∞ performance for the fault detection system. The corresponding solvability conditions for the desired fuzzy-rule-independent and fuzzy-rule-dependent fault detection filters are also established. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theory.